Abstract

We investigate power-dependent routing of one-dimensional Kerr-like spatial solitons in the presence of a finite photonic potential. Large self-deflections can be obtained using a trapping index well of limited length.

© 2013 Optical Society of America

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  1. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
    [CrossRef]
  2. Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).
  3. M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
    [CrossRef]
  4. W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
    [CrossRef]
  5. L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, Opt. Lett. 23, 1438 (1998).
    [CrossRef]
  6. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
    [CrossRef]
  7. C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
    [CrossRef]
  8. A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, Opt. Lett. 35, 390 (2010).
    [CrossRef]
  9. Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Opt. Lett. 35, 1692 (2010).
    [CrossRef]
  10. A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
    [CrossRef]
  11. A. E. Kaplan, JETP Lett. 9, 33 (1969).
  12. A. T. Ryan and G. P. Agrawal, Opt. Lett. 18, 1795 (1993).
    [CrossRef]
  13. F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, Opt. Lett. 34, 2658 (2009).
    [CrossRef]
  14. A. Piccardi, A. Alberucci, and G. Assanto, Appl. Phys. Lett. 96, 061105 (2010).
    [CrossRef]
  15. A. Piccardi, A. Alberucci, and G. Assanto, Phys. Rev. Lett. 104, 213904 (2010).
    [CrossRef]
  16. M. Peccianti, A. Fratalocchi, and G. Assanto, Opt. Express 12, 6524 (2004).
    [CrossRef]
  17. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
    [CrossRef]
  18. Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
    [CrossRef]
  19. S. Garzia, C. Sibilia, and M. Bertolotti, Opt. Commun. 139, 193 (1997).
  20. Y.-D. Wu, Opt. Express 12, 4172 (2004).
    [CrossRef]
  21. A. Fratalocchi and G. Assanto, Opt. Lett. 31, 1489 (2006).
    [CrossRef]
  22. L. W. Dong and H. Wang, Appl. Phys. B 84, 465 (2006).
    [CrossRef]
  23. G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
    [CrossRef]
  24. G. Assanto, N. F. Smyth, and W. Xia, Phys. Rev. A 84, 033818 (2011).
    [CrossRef]
  25. A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
    [CrossRef]
  26. M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
    [CrossRef]
  27. C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, Opt. Lett. 36, 1848 (2011).
    [CrossRef]

2012 (2)

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

2011 (2)

G. Assanto, N. F. Smyth, and W. Xia, Phys. Rev. A 84, 033818 (2011).
[CrossRef]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, Opt. Lett. 36, 1848 (2011).
[CrossRef]

2010 (4)

2009 (2)

G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, Opt. Lett. 34, 2658 (2009).
[CrossRef]

2008 (2)

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
[CrossRef]

2007 (1)

2006 (3)

A. Fratalocchi and G. Assanto, Opt. Lett. 31, 1489 (2006).
[CrossRef]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

L. W. Dong and H. Wang, Appl. Phys. B 84, 465 (2006).
[CrossRef]

2004 (2)

1999 (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef]

1998 (1)

1997 (1)

S. Garzia, C. Sibilia, and M. Bertolotti, Opt. Commun. 139, 193 (1997).

1996 (1)

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

1993 (1)

1989 (2)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
[CrossRef]

1969 (1)

A. E. Kaplan, JETP Lett. 9, 33 (1969).

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Agrawal, G. P.

A. T. Ryan and G. P. Agrawal, Opt. Lett. 18, 1795 (1993).
[CrossRef]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

Aitchison, J. S.

Alberucci, A.

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, Opt. Lett. 36, 1848 (2011).
[CrossRef]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, Opt. Lett. 35, 390 (2010).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Appl. Phys. Lett. 96, 061105 (2010).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Phys. Rev. Lett. 104, 213904 (2010).
[CrossRef]

Alfassi, B.

Assanto, G.

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

G. Assanto, N. F. Smyth, and W. Xia, Phys. Rev. A 84, 033818 (2011).
[CrossRef]

C. P. Jisha, A. Alberucci, R.-K. Lee, and G. Assanto, Opt. Lett. 36, 1848 (2011).
[CrossRef]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, Opt. Lett. 35, 390 (2010).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Phys. Rev. Lett. 104, 213904 (2010).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Appl. Phys. Lett. 96, 061105 (2010).
[CrossRef]

G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
[CrossRef]

A. Fratalocchi and G. Assanto, Opt. Lett. 31, 1489 (2006).
[CrossRef]

M. Peccianti, A. Fratalocchi, and G. Assanto, Opt. Express 12, 6524 (2004).
[CrossRef]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

Barak, A.

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

Barboza, R.

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

Bertolotti, M.

S. Garzia, C. Sibilia, and M. Bertolotti, Opt. Commun. 139, 193 (1997).

Bortolozzo, U.

Buchnev, O.

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

Christodoulides, D. N.

Cohen, O.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

Desyatnikov, A. S.

Dong, L. W.

L. W. Dong and H. Wang, Appl. Phys. B 84, 465 (2006).
[CrossRef]

Dyadyusha, A.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
[CrossRef]

Fratalocchi, A.

Friedrich, L.

Fuerst, R. A.

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

Garzia, S.

S. Garzia, C. Sibilia, and M. Bertolotti, Opt. Commun. 139, 193 (1997).

Hamilton, C. J.

Hu, B.

Izdebskaya, Y. V.

Jisha, C. P.

Kaczmarek, M.

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
[CrossRef]

Kaplan, A. E.

A. E. Kaplan, JETP Lett. 9, 33 (1969).

Kartashov, Y. V.

Kivshar, Y. S.

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Opt. Lett. 35, 1692 (2010).
[CrossRef]

Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
[CrossRef]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

Krolikowski, W.

Lawrence, B. L.

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

Lee, R.-K.

Malomed, B. A.

Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
[CrossRef]

Manela, O.

Millar, P.

Minzoni, A. A.

G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
[CrossRef]

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Peccianti, M.

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
[CrossRef]

M. Peccianti, A. Fratalocchi, and G. Assanto, Opt. Express 12, 6524 (2004).
[CrossRef]

Peleg, O.

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

Piccardi, A.

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Appl. Phys. Lett. 96, 061105 (2010).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Phys. Rev. Lett. 104, 213904 (2010).
[CrossRef]

A. Alberucci, A. Piccardi, U. Bortolozzo, S. Residori, and G. Assanto, Opt. Lett. 35, 390 (2010).
[CrossRef]

Residori, S.

Rotschild, C.

Ryan, A. T.

Segev, M.

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
[CrossRef]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef]

Shvedov, V. G.

Sibilia, C.

S. Garzia, C. Sibilia, and M. Bertolotti, Opt. Commun. 139, 193 (1997).

Smyth, N. F.

G. Assanto, N. F. Smyth, and W. Xia, Phys. Rev. A 84, 033818 (2011).
[CrossRef]

G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
[CrossRef]

Soffer, A.

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

Stegeman, G. I.

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef]

L. Friedrich, G. I. Stegeman, P. Millar, C. J. Hamilton, and J. S. Aitchison, Opt. Lett. 23, 1438 (1998).
[CrossRef]

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

Stucchio, C.

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

Torner, L.

Torruellas, W. E.

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

Wang, H.

L. W. Dong and H. Wang, Appl. Phys. B 84, 465 (2006).
[CrossRef]

Wu, Y.-D.

Xia, W.

G. Assanto, N. F. Smyth, and W. Xia, Phys. Rev. A 84, 033818 (2011).
[CrossRef]

Ye, F.

Appl. Phys. B (1)

L. W. Dong and H. Wang, Appl. Phys. B 84, 465 (2006).
[CrossRef]

Appl. Phys. Lett. (3)

W. E. Torruellas, G. Assanto, B. L. Lawrence, R. A. Fuerst, and G. I. Stegeman, Appl. Phys. Lett. 68, 1449 (1996).
[CrossRef]

A. Piccardi, A. Alberucci, R. Barboza, O. Buchnev, M. Kaczmarek, and G. Assanto, Appl. Phys. Lett. 100, 251107 (2012).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Appl. Phys. Lett. 96, 061105 (2010).
[CrossRef]

JETP Lett. (1)

A. E. Kaplan, JETP Lett. 9, 33 (1969).

Nat. Phys. (1)

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

Opt. Commun. (1)

S. Garzia, C. Sibilia, and M. Bertolotti, Opt. Commun. 139, 193 (1997).

Opt. Express (2)

Opt. Lett. (8)

Phys. Rep. (1)

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

Phys. Rev. A (3)

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

G. Assanto, A. A. Minzoni, M. Peccianti, and N. F. Smyth, Phys. Rev. A 79, 033837 (2009).
[CrossRef]

G. Assanto, N. F. Smyth, and W. Xia, Phys. Rev. A 84, 033818 (2011).
[CrossRef]

Phys. Rev. Lett. (3)

A. Barak, O. Peleg, C. Stucchio, A. Soffer, and M. Segev, Phys. Rev. Lett. 100, 153901 (2008).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Phys. Rev. Lett. 101, 153902 (2008).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, Phys. Rev. Lett. 104, 213904 (2010).
[CrossRef]

Rev. Mod. Phys. (1)

Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
[CrossRef]

Science (1)

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef]

Other (1)

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Overall potential Vtot versus X for μ2=0.001, 0.3, and 0.4, larger μ2 correspond to a narrower lobe around the center X=0. (b) Oscillation period versus soliton width μ2 computed from Eq. (2) (solid lines) and from Eq. (1) (symbols); the numbers next to each line indicate the corresponding initial position Xin. (c) Soliton trajectories in an infinitely extended potential (d), and for Xin=0.5, 1, and 1.5, from top to bottom, respectively; solid and dashed lines correspond to μ2=0.001 and 0.2, respectively. Here Δ=1.

Fig. 2.
Fig. 2.

Soliton oscillations in a trapping well infinitely extended across Z, versus input radius 1/u0 and initial position Xin, computed via BPM code solving Eq. (1). Here Δ=1.

Fig. 3.
Fig. 3.

Left: beam evolution for input amplitudes ranging from u0=2 to u0=12; d=10 and the input position is Xin=0.5 (the dashed rectangle indicates the linear index well). Right: corresponding output profiles normalized to their peak value from u0=8 to u0=2, from left to right, respectively. Here we set Δ=1.

Fig. 4.
Fig. 4.

Theoretical (solid lines) and numerical (points) predictions for the soliton output velocity vout versus input width μ2, for various input positions Xin (labels next to each line). Here d=10 and Δ=1.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

iuZ+122uX2F(|u|2)upVeff(X,Z)u=0,
d2XdZ2=m=01m!m+1UXm+1|Xμm,
E=12v2+Veff(X)+μ222VeffX2|X,
vout=±2[Vout(Xin)Vtot(Xout)],

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